Journal ArticleDOI
A Comparison of Maximum Likelihood and Bayesian Estimators for the Three-Parameter Weibull Distribution
Richard Smith,J. C. Naylor +1 more
TLDR
In this article, maximum likelihood and Bayesian estimators are developed and compared for the three-parameter Weibull distribution, and the authors conclude that there are practical advantages to the Bayesian approach.Abstract:
Maximum likelihood and Bayesian estimators are developed and compared for the three‐parameter Weibull distribution. For the data analysed in the paper, the two sets of estimators are found to be very different. The reasons for this are explored, and ways of reducing the discrepancy, including reparametrization, are investigated. Our overall conclusion is that there are practical advantages to the Bayesian approach.read more
Citations
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DissertationDOI
Extreme value analysis of speeding data
TL;DR: In this paper, a set of speeding values recorded by the Berlin police from 2009 to 2011 were analyzed using the concept of extreme value theory and showed that the resulting endpoint depends on the chosen estimator for the extreme value index, whereas for other speed classes an even more excessive speeding behavior should be expected.
Journal ArticleDOI
On a Weibull-Inverse Exponential Distribution
TL;DR: In this article, the maximum likelihood and Bayes estimates of unknown parameters and reliability characteristics of a Weibull inverse exponential distribution are obtained with respect to the squared error loss function under proper and improper prior situations.
Journal ArticleDOI
Parameter estimation of Weibull-Exponential distribution under Type-I hybrid censored sample
TL;DR: In this paper, the problem of estimation of unknown parameters of a Weibull-Exponential distribution under Type-I hybrid censored data was studied and the maximum likelihood estimates (MLEs) were derived.
Journal ArticleDOI
The Extended Marshall-Olkin Burr III Distribution: Properties and Applications
Muhammad Ahsan ul Haq,Ahmed Z. Afify,Hazem Al Mofleh,Rana Muhammad Usman,Mohammed Alqawba,Abdullah M. Sarg +5 more
TL;DR: In this paper, a new continuous distribution called the Marshall-Olkin modified Burr III (MOR) distribution was proposed, which can be expressed as a mixture of Modified Burr III densities.
Journal ArticleDOI
A New Bimodal Distribution for Modeling Asymmetric Bimodal Heavy-Tail Real Lifetime Data
TL;DR: A new generalization of the Burr type X distribution is introduced and studied, which can be “right-skewed and symmetric with “unimodal” and many “bimodAL” shapes.
References
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Journal ArticleDOI
Statistical Models and Methods for Lifetime Data.
Brian Francis,Jerald F. Lawless +1 more
Journal ArticleDOI
Maximum likelihood estimation in a class of nonregular cases
TL;DR: In this article, the authors consider maximum likelihood estimation of the parameters of a probability density which is zero for x 2, the information matrix is finite and the classical asymptotic properties continue to hold.
Journal ArticleDOI
Estimating Parameters in Continuous Univariate Distributions with a Shifted Origin
TL;DR: In this paper, a general method of estimating parameters in continuous univariate distributions is proposed, which is especially suited to cases where one of the parameters is an unknown shifted origin and is shown to give consistent estimators with asymptotic efficiency equal to ML estimators when these exist.
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A new method for adding a parameter to a family of distributions with application to the exponential and Weibull families
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